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Finding the Fourth Proportional to 6,855.25, 10,282.84 and 1,661.13

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Solution

The fourth proportional to 6,855.25, 10,282.84 and 1,661.13 is: 2,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.25 : 10,282.84 = 1,661.13 : x
  2. Step 2: Convert to fraction form
    6,855.25/10,282.84 = 1,661.13/x
  3. Step 3: Cross multiply
    6,855.25x = 10,282.84 × 1,661.13
  4. Step 4: Simplify right side
    6,855.25x = 17,081,134.01
  5. Step 5: Solve for x
    x = 17,081,134.01/6,855.25
  6. Step 6: Final answer
    x = 2,491.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.